HW$20\_$#$2$ WHEEL HP The known angular velocities and accelerations of the armDC and the wheel $FH$ are shown. Furthermore:

ArmDC moves in fixed axis rotation around pin $D,$

A no$-$slip wheel $FH$ moves rolls across horizontal surface,

Peg $C$ is attached to arm $DC$ and confined to the curved slot on $F{H}_2$

Peg $C$ and location $P($on wheel $FH)$ are currently in the same location and

Peg $C$ has a relative slipping velocity to location $P(V_{CP})$ tangent to the slot and toward point $H.$

A$.$ Write out the vector $($non$-$numeric$)$ equation to relate the acceleration of points $P$ and $C.$ Your equation needs to be in terms of the position vectors $(r_{})$ and angular vectors $({}^{\text{'}}s$&${}^{\text{'}}s)$ where possible. Hence, instead of writing vec$({}_{\frac{B}{A_t}})$ use $(vec({}_{AB})$vec$(r_{\frac{B}{A}}))$ where possible.

B$.[18$ pts$]$ Label and sketch all angular and linear velocity & acceleration vectors the kinetic diagram to the below.

C

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